Colloquium

Patrick Ingram, York University

"Variation of canonical heights in arithmetic dynamics"

The Néron-Tate height on an abelian variety is an important measure of arithmetic complexity, for example yielding information about the structure of the group of rational points. A 1980 result of Silverman gives an asymptotic for the variation of this height along a section of a family of abelian varieties. One may construct an analogous canonical height function associated to a polarized algebraic dynamical system, and in this talk I will survey some recent refinements of the analogue of Silverman’s theorem.

MC 5501